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arXiv:2008.02249 [math.DS]AbstractReferencesReviewsResources

Closed geodesics on surfaces without conjugate points

Vaughn Climenhaga, Gerhard Knieper, Khadim War

Published 2020-08-05Version 1

We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compact surfaces of genus at least 2 without conjugate points.

Comments: 33 pages, 2 figures
Categories: math.DS, math.DG
Subjects: 37C35, 37D40, 53C22
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